Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 165, Pages 73–79
DOI: https://doi.org/10.36535/0233-6723-2019-165-73-79 (Mi into468) 		 
Application of the A. N. Tikhonov regularization to restoring microstructural characteristics of hail clouds

L. T. Sozaeva, A. Kh. Kagermazov

Mountain Geophysical Institute, Nalchik
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DOI: https://doi.org/10.36535/0233-6723-2019-165-73-79
Abstract: This paper is devoted to solving the inverse problem of restoring the hydrometeor distribution function from radar measurements. We use the Tikhonov regularization algorithm based on the minimization of the residual functional by the conjugate gradient method.
Keywords: radar reflectivity, hydrometeor distribution function, Fredholm integral equation of the first kind, Tikhonov regularization method, conjugate gradient method.
Bibliographic databases:
Document Type: Article
UDC: 517.958:551.501.8
MSC: 86A22
Language: Russian
Citation: L. T. Sozaeva, A. Kh. Kagermazov, “Application of the A. N. Tikhonov regularization to restoring microstructural characteristics of hail clouds”, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part I, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 165, VINITI, Moscow, 2019, 73–79
Citation in format AMSBIB
\Bibitem{SozKag19}
\by L.~T.~Sozaeva, A.~Kh.~Kagermazov
\paper Application of the A.~N.~Tikhonov regularization to restoring microstructural characteristics of hail clouds
\inbook Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics".
Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part I
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 165
\pages 73--79
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into468}
\crossref{https://doi.org/10.36535/0233-6723-2019-165-73-79}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4030612}
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